In: Statistics and Probability
It is estimated that there are 18 deaths for every 10 million people who use airplanes. A company that sells flight insurance provides $100,000 in case of death in a plane crash. A policy can be purchased for $1. Calculate the expected value and thereby determine how much the insurance company can make over the long run for each policy that it sells.
The expected value is $_______________________
P(Death) = 18/10000000 = 0.0000018
Hence,
Expected value = - 0.0000018*($100000 - $1) + (1 - 0.0000018)*($1) = $ 0.82
So the company is expected to make $ 0.82 per policy in the long run.